STAB22H3 Lecture Notes - Lecture 13: Probability Measure, Probability Theory, Sample Space

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What are the chances that our sample mean is close to the true distribution (or population) mean: for another example in an experiment: comparing treatment e ects. 1: individual outcomes uncertain but long-run pattern of proportions (relative frequencies) emerges; we use the word random to describe outcomes (events) of this nature. For example ipping a coin and recording the outcome. For example waiting at the bus stop and recording waiting time, etc : the sample space : the set of all possible outcomes of the experiment. For example, if we denote by s the set of all possible outcomes from ipping a coin then s = {h, t }. For example, if we denote by s the set of all possible outcomes from waiting at the bus stop and recording waiting time then s = {x : x > 0}. 2: events: subset of the sample space.